English

Weighted approximation By Max-product Kantrovich type Exponential Sampling Series

Functional Analysis 2025-04-29 v1

Abstract

In this study, we examine the convergence characteristics of the Max-Product Kantrovich type exponential sampling series within the weighted space of log-uniformly continuous and bounded functions. The research focuses on deriving fundamental convergence results for the series and analyzing its asymptotic convergence behavior. The study estimates the rate of convergence using the weighted logarithmic modulus of continuity and establishes a quantitative Voronovskaja-type theorem offering insights into the asymptotic behavior of the series. Additionally, we present the example of kernel functions satisfying assumptions of the presented theory along with graphical demonstration and estimates of approximation.

Keywords

Cite

@article{arxiv.2504.19668,
  title  = {Weighted approximation By Max-product Kantrovich type Exponential Sampling Series},
  author = {Satyaranjan Pradhan and Madan Mohan Soren},
  journal= {arXiv preprint arXiv:2504.19668},
  year   = {2025}
}

Comments

20 pages, 3 figures

R2 v1 2026-06-28T23:13:34.648Z